# Narrowing in boolean expressions In `or` expressions, the right-hand side is evaluated only if the left-hand side is **falsy**. So when the right-hand side is evaluated, we know the left side has failed. Similarly, in `and` expressions, the right-hand side is evaluated only if the left-hand side is **truthy**. So when the right-hand side is evaluated, we know the left side has succeeded. ## Narrowing in `or` ```py def bool_instance() -> bool: return True class A: ... x: A | None = A() if bool_instance() else None isinstance(x, A) or reveal_type(x) # revealed: None x is None or reveal_type(x) # revealed: A reveal_type(x) # revealed: A | None ``` ## Narrowing in `and` ```py def bool_instance() -> bool: return True class A: ... x: A | None = A() if bool_instance() else None isinstance(x, A) and reveal_type(x) # revealed: A x is None and reveal_type(x) # revealed: None reveal_type(x) # revealed: A | None ``` ## Multiple `and` arms ```py def bool_instance() -> bool: return True class A: ... x: A | None = A() if bool_instance() else None bool_instance() and isinstance(x, A) and reveal_type(x) # revealed: A isinstance(x, A) and bool_instance() and reveal_type(x) # revealed: A reveal_type(x) and isinstance(x, A) and bool_instance() # revealed: A | None ``` ## Multiple `or` arms ```py def bool_instance() -> bool: return True class A: ... x: A | None = A() if bool_instance() else None bool_instance() or isinstance(x, A) or reveal_type(x) # revealed: None isinstance(x, A) or bool_instance() or reveal_type(x) # revealed: None reveal_type(x) or isinstance(x, A) or bool_instance() # revealed: A | None ``` ## Multiple predicates ```py def bool_instance() -> bool: return True class A: ... x: A | None | Literal[1] = A() if bool_instance() else None if bool_instance() else 1 x is None or isinstance(x, A) or reveal_type(x) # revealed: Literal[1] ``` ## Mix of `and` and `or` ```py def bool_instance() -> bool: return True class A: ... x: A | None | Literal[1] = A() if bool_instance() else None if bool_instance() else 1 isinstance(x, A) or x is not None and reveal_type(x) # revealed: Literal[1] ```